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Finding the Fourth Proportional to 47,648.75, 65,755.79 and 26,429.38

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Solution

The fourth proportional to 47,648.75, 65,755.79 and 26,429.38 is: 36,472.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,648.75 : 65,755.79 = 26,429.38 : x
  2. Step 2: Convert to fraction form
    47,648.75/65,755.79 = 26,429.38/x
  3. Step 3: Cross multiply
    47,648.75x = 65,755.79 × 26,429.38
  4. Step 4: Simplify right side
    47,648.75x = 1,737,884,761.11
  5. Step 5: Solve for x
    x = 1,737,884,761.11/47,648.75
  6. Step 6: Final answer
    x = 36,472.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.